{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pyspark.sql import SparkSession"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pyspark.sql.functions import rand, randn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "spark = SparkSession.builder.appName('k_means').getOrCreate()  #创建SparkSession对象"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "df=spark.read.csv('iris_dataset.csv',inferSchema=True,header=True) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(150, 5)\n"
     ]
    }
   ],
   "source": [
    "print((df.count(),len(df.columns)))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+------------+-----------+------------+-----------+----------+\n",
      "|sepal_length|sepal_width|petal_length|petal_width|species   |\n",
      "+------------+-----------+------------+-----------+----------+\n",
      "|5.7         |2.8        |4.5         |1.3        |versicolor|\n",
      "|6.1         |2.9        |4.7         |1.4        |versicolor|\n",
      "|5.5         |2.3        |4.0         |1.3        |versicolor|\n",
      "|5.4         |3.0        |4.5         |1.5        |versicolor|\n",
      "|4.9         |3.0        |1.4         |0.2        |setosa    |\n",
      "|6.4         |2.9        |4.3         |1.3        |versicolor|\n",
      "|5.8         |2.8        |5.1         |2.4        |virginica |\n",
      "|5.2         |3.5        |1.5         |0.2        |setosa    |\n",
      "|4.4         |2.9        |1.4         |0.2        |setosa    |\n",
      "|6.7         |3.0        |5.0         |1.7        |versicolor|\n",
      "+------------+-----------+------------+-----------+----------+\n",
      "only showing top 10 rows\n",
      "\n"
     ]
    }
   ],
   "source": [
    "df.orderBy(rand()).show(10,False)    #查看数据，随机的方式"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+----------+-----+\n",
      "|species   |count|\n",
      "+----------+-----+\n",
      "|virginica |50   |\n",
      "|versicolor|50   |\n",
      "|setosa    |50   |\n",
      "+----------+-----+\n",
      "\n"
     ]
    }
   ],
   "source": [
    "df.groupBy('species').count().orderBy('count',ascending=False).show(10,False) # 汇总查看数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "root\n",
      " |-- sepal_length: double (nullable = true)\n",
      " |-- sepal_width: double (nullable = true)\n",
      " |-- petal_length: double (nullable = true)\n",
      " |-- petal_width: double (nullable = true)\n",
      " |-- species: string (nullable = true)\n",
      "\n"
     ]
    }
   ],
   "source": [
    "df.printSchema()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "#特征装换功能，将鸢尾花的四个特征数据值，装换为一个特征向量\n",
    "from pyspark.ml.linalg import Vectors\n",
    "from pyspark.ml.feature import VectorAssembler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "input_cols=['sepal_length', 'sepal_width', 'petal_length', 'petal_width']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "vec_as = VectorAssembler(inputCols = input_cols, outputCol='features')\n",
    "data = vec_as.transform(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+------------+-----------+------------+-----------+----------+-----------------+\n",
      "|sepal_length|sepal_width|petal_length|petal_width|species   |features         |\n",
      "+------------+-----------+------------+-----------+----------+-----------------+\n",
      "|4.8         |3.1        |1.6         |0.2        |setosa    |[4.8,3.1,1.6,0.2]|\n",
      "|5.8         |2.7        |5.1         |1.9        |virginica |[5.8,2.7,5.1,1.9]|\n",
      "|7.3         |2.9        |6.3         |1.8        |virginica |[7.3,2.9,6.3,1.8]|\n",
      "|4.5         |2.3        |1.3         |0.3        |setosa    |[4.5,2.3,1.3,0.3]|\n",
      "|5.7         |4.4        |1.5         |0.4        |setosa    |[5.7,4.4,1.5,0.4]|\n",
      "|5.0         |3.6        |1.4         |0.2        |setosa    |[5.0,3.6,1.4,0.2]|\n",
      "|7.2         |3.6        |6.1         |2.5        |virginica |[7.2,3.6,6.1,2.5]|\n",
      "|6.1         |2.6        |5.6         |1.4        |virginica |[6.1,2.6,5.6,1.4]|\n",
      "|4.8         |3.0        |1.4         |0.1        |setosa    |[4.8,3.0,1.4,0.1]|\n",
      "|7.0         |3.2        |4.7         |1.4        |versicolor|[7.0,3.2,4.7,1.4]|\n",
      "+------------+-----------+------------+-----------+----------+-----------------+\n",
      "only showing top 10 rows\n",
      "\n"
     ]
    }
   ],
   "source": [
    "data.orderBy(rand()).show(10,False)    #特征装换后的数据样式"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "当K值为：2\n",
      "集合内误差平方和：152.368706477\n",
      "----------------------------------------------------------------------------------------------------\n",
      "当K值为：3\n",
      "集合内误差平方和：78.945065826\n",
      "----------------------------------------------------------------------------------------------------\n",
      "当K值为：4\n",
      "集合内误差平方和：71.6570902675\n",
      "----------------------------------------------------------------------------------------------------\n",
      "当K值为：5\n",
      "集合内误差平方和：49.7132542127\n",
      "----------------------------------------------------------------------------------------------------\n",
      "当K值为：6\n",
      "集合内误差平方和：39.2778790001\n",
      "----------------------------------------------------------------------------------------------------\n",
      "当K值为：7\n",
      "集合内误差平方和：36.842515873\n",
      "----------------------------------------------------------------------------------------------------\n",
      "当K值为：8\n",
      "集合内误差平方和：34.7662394003\n",
      "----------------------------------------------------------------------------------------------------\n",
      "当K值为：9\n",
      "集合内误差平方和：31.4880961244\n",
      "----------------------------------------------------------------------------------------------------\n",
      "当K值为：10\n",
      "集合内误差平方和：30.1438324989\n",
      "----------------------------------------------------------------------------------------------------\n",
      "当K值为：11\n",
      "集合内误差平方和：25.1334905071\n",
      "----------------------------------------------------------------------------------------------------\n",
      "当K值为：12\n",
      "集合内误差平方和：24.1485765732\n",
      "----------------------------------------------------------------------------------------------------\n",
      "当K值为：13\n",
      "集合内误差平方和：23.9958079004\n",
      "----------------------------------------------------------------------------------------------------\n",
      "当K值为：14\n",
      "集合内误差平方和：21.9265568628\n",
      "----------------------------------------------------------------------------------------------------\n",
      "当K值为：15\n",
      "集合内误差平方和：20.2200198413\n",
      "----------------------------------------------------------------------------------------------------\n",
      "当K值为：16\n",
      "集合内误差平方和：20.2811615703\n",
      "----------------------------------------------------------------------------------------------------\n",
      "当K值为：17\n",
      "集合内误差平方和：20.0147124542\n",
      "----------------------------------------------------------------------------------------------------\n",
      "当K值为：18\n",
      "集合内误差平方和：19.5230360963\n",
      "----------------------------------------------------------------------------------------------------\n",
      "当K值为：19\n",
      "集合内误差平方和：20.2054451659\n",
      "----------------------------------------------------------------------------------------------------\n",
      "当K值为：20\n",
      "集合内误差平方和：17.7759471182\n",
      "----------------------------------------------------------------------------------------------------\n"
     ]
    }
   ],
   "source": [
    "#前面说明K-Means算法的时候。说明了K值需要自己设定，并且计算聚类后各点到图心距离差平方和最小。这些计算也暗示了聚类算法会很耗时\n",
    "from pyspark.ml.clustering import KMeans\n",
    "squared_errors={}\n",
    "for k in range(2,21):\n",
    "    kmeans = KMeans(featuresCol='features',k=k)\n",
    "    model = kmeans.fit(data)\n",
    "    distance = model.computeCost(data)\n",
    "    squared_errors[k]=distance\n",
    "    print(\"当K值为：{}\".format(k))\n",
    "    print(\"集合内误差平方和：\" + str(distance))\n",
    "    print('-----------------------------')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{2: 152.36870647734008,\n",
       " 3: 78.94506582597637,\n",
       " 4: 71.65709026750118,\n",
       " 5: 49.71325421267548,\n",
       " 6: 39.27787900008565,\n",
       " 7: 36.84251587301658,\n",
       " 8: 34.76623940030579,\n",
       " 9: 31.488096124440858,\n",
       " 10: 30.143832498947802,\n",
       " 11: 25.133490507077042,\n",
       " 12: 24.148576573185473,\n",
       " 13: 23.995807900432986,\n",
       " 14: 21.926556862823503,\n",
       " 15: 20.220019841268908,\n",
       " 16: 20.2811615703135,\n",
       " 17: 20.014712454212848,\n",
       " 18: 19.523036096257457,\n",
       " 19: 20.20544516594537,\n",
       " 20: 17.775947118241326}"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "squared_errors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "cluster_number = range(2,10)\n",
    "plt.scatter(squared_errors.keys(),squared_errors.values())\n",
    "plt.xlabel(u'k值-K Value')\n",
    "plt.ylabel(u'误差平方和-SSE Value')\n",
    "plt.savefig('K-Value.jpg')\n",
    "#plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 通过图形，查看k=4时较为合适\n",
    "kmeans = KMeans(featuresCol='features',k=5,)\n",
    "model = kmeans.fit(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "predictions=model.transform(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+----------+----------+-----+\n",
      "|   species|prediction|count|\n",
      "+----------+----------+-----+\n",
      "|    setosa|         2|   23|\n",
      "|    setosa|         4|   27|\n",
      "| virginica|         0|   17|\n",
      "| virginica|         1|   32|\n",
      "|versicolor|         0|   23|\n",
      "| virginica|         3|    1|\n",
      "|versicolor|         3|   27|\n",
      "+----------+----------+-----+\n",
      "\n"
     ]
    }
   ],
   "source": [
    "predictions.groupBy('species','prediction').count().show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [],
   "source": [
    "pandas_df = predictions.toPandas()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "cluster_vis = plt.figure(figsize=(15,10)).gca(projection='3d')\n",
    "cluster_vis.scatter(pandas_df.sepal_length, pandas_df.sepal_width, pandas_df.petal_length, c=pandas_df.prediction,depthshade=False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
